Efficient analytical calculation of the plane wave coupling to uniform transmission lines with arbitrary load resistances in time domain

An efficient calculation scheme for the plane wave coupling to a lossless and uniform transmission line in time domain is presented. The method is based on closed-form formulas and a finite sum. It is applicable for a single-wire transmission line above a perfectly conducting ground plane as well as for a double-wire line in free space. The line can be terminated with arbitrary linear load resistances. The exciting plane wave can be described by any time function that must be integrable. In comparison with a solution in the frequency domain and a subsequent inverse Fourier transform, the presented method is much faster, more exact and very comprehensible,